Linear Operators: Spectral theory |
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Page 1837
... reflexive vector spaces . Trans . Amer . Math . Soc . 49 , 18-40 ( 1941 ) . Means of iterated transformations in reflexive vector spaces . Bull . Amer . Math . Soc . 45 , 945-957 ( 1939 ) . The structure of normed abelian rings . Bull ...
... reflexive vector spaces . Trans . Amer . Math . Soc . 49 , 18-40 ( 1941 ) . Means of iterated transformations in reflexive vector spaces . Bull . Amer . Math . Soc . 45 , 945-957 ( 1939 ) . The structure of normed abelian rings . Bull ...
Page 1917
... Reflexivity , alternate proof , V.7.11 ( 436 ) criterion for , V.4.7 ( 425 ) definition , II.3.22 ( 66 ) discussion , ( 88 ) examples of reflexive space , IV.15 properties , II.3.23-24 II.3.28-29 ( 68-69 ) remarks on , ( 463 ) , ( 473 ) ...
... Reflexivity , alternate proof , V.7.11 ( 436 ) criterion for , V.4.7 ( 425 ) definition , II.3.22 ( 66 ) discussion , ( 88 ) examples of reflexive space , IV.15 properties , II.3.23-24 II.3.28-29 ( 68-69 ) remarks on , ( 463 ) , ( 473 ) ...
Page 1923
... reflexive spaces , II.3.28 ( 68 ) in special spaces , IV.15 Weak topology in a B - space , ( 419 ) bounded topology in ** , V.5.3 ( 427 ) relations with reflexivity , V.4 relations with separability and me- trizability , V.5 study of ...
... reflexive spaces , II.3.28 ( 68 ) in special spaces , IV.15 Weak topology in a B - space , ( 419 ) bounded topology in ** , V.5.3 ( 427 ) relations with reflexivity , V.4 relations with separability and me- trizability , V.5 study of ...
Contents
BAlgebras | 859 |
Commutative BAlgebras | 868 |
Commutative BAlgebras | 874 |
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A₁ adjoint extension adjoint operator algebra analytic B-algebra Borel set boundary conditions boundary values bounded operator C₁ closed closure coefficients compact operator complex numbers continuous function converges Corollary countably deficiency indices Definition denote dense eigenfunctions eigenvalues element equation essential spectrum Exercise exists f₁ finite dimensional follows from Lemma follows from Theorem formal differential operator formally self adjoint formula Fourier function f Haar measure Hence Hilbert space Hilbert-Schmidt operator homomorphism identity inequality infinity integral interval kernel L₁ L₁(R L₂ L₂(I L₂(R Lemma Let f linearly independent mapping matrix measure neighborhood non-zero norm operators in Hilbert orthogonal Plancherel's theorem positive preceding lemma prove real axis real numbers satisfies sequence shows solution spectral set spectral theorem square-integrable subset subspace Suppose T₁ T₂ theory To(t topology tr(T transform uniformly unique unitary vanishes vector zero